Title
Subset Sum in the Absence of Concentration.
Abstract
We study the exact time complexity of the Subset Sum problem. Our focus is on instances that lack additive structure in the sense that the sums one can form from the subsets of the given integers are not strongly concentrated on any particular integer value. We present a randomized algorithm that runs in O(2(0.3399n) B-4) time on instances with the property that no value can arise as a sum of more than B different subsets of the n given integers.
Year
DOI
Venue
2015
10.4230/LIPIcs.STACS.2015.48
Leibniz International Proceedings in Informatics
Keywords
Field
DocType
subset sum,additive combinatorics,exponential-time algorithm,homomorphic hashing,Littlewood-Offord problem
Integer,Discrete mathematics,Combinatorics,Littlewood–Offord problem,Subset sum problem,Time complexity,Mathematics
Conference
Volume
ISSN
Citations 
30
1868-8969
2
PageRank 
References 
Authors
0.38
10
4
Name
Order
Citations
PageRank
per austrin118718.31
Petteri Kaski291266.03
Mikko Koivisto380355.81
Jesper Nederlof429424.22